The equivalent modulus of elasticity of layered soil mediums for designing shallow foundations with the Winkler spring hypothesis: A critical review

2019 ◽  
Vol 201 ◽  
pp. 109452 ◽  
Author(s):  
Lysandros Pantelidis
Keyword(s):  
Critical Review ◽  
Modulus Of Elasticity ◽  
Layered Soil ◽  
Shallow Foundations ◽  
Equivalent Modulus

A Note on the Equivalent Modulus of Elasticity of Stay Cables

2011 ◽  
Vol 255-260 ◽  
pp. 1266-1269
Author(s):  
Yi Xiao ◽  
Wei Dong Zhuo ◽  
Li Chu Fan
Keyword(s):  
Modulus Of Elasticity ◽  
Proper Choice ◽  
Stay Cables ◽  
Equivalent Modulus

A new equivalent modulus of elasticity of stay cables is derived based on previous research works. The result of the proposed formula is close to Ernst’s formula and can be regarded as a theoretical supplement of existing works. Compared with the preset formula and other related works, Ernst’s formula is a proper choice for the equivalent modulus of elasticity of stay cables.

scholarly journals The equivalent modulus of elasticity of soil mediums for designing shallow foundations

2021 ◽  
Author(s):  
Lysandros Pantelidis
Keyword(s):  
Elastic Constants ◽  
Poisson’S Ratio ◽  
Theory Of Elasticity ◽  
Shallow Foundations ◽  
Poisson's Ratio ◽  
Deformation Pattern ◽  
Lateral Expansion ◽  
Principle Of Superposition ◽  
Soil Medium ◽  
Equivalent Modulus

Abstract As known, in a Winkler type of analysis the soil medium underneath the foundation is violently replaced by a row of parallel springs having constant ks. For the effective calculation of the latter, which is called the modulus of subgrade reaction, the two elastic constants of the soil (the elastic modulus, E and the Poisson’s ratio, ν) must be known. Although for homogenous soils this generally seems not to be a problem, the same does not stand for stratified mediums or mediums with linearly increasing modulus with depth. In such an analysis, the proper pair of elastic constant values of soil should be selected. This refers to a Poisson’s ratio value equal to zero corresponding to the deformation pattern of springs (compression with no lateral expansion) and the respective modulus. In the present paper a method for calculating the equivalent elastic constants for the above mentioned mediums is proposed based on the theory of elasticity combining the principle of superposition. Various cases are considered, since the equivalent modulus, Eeq, depends on the rigidity and the shape of the footing. As shown, the derived Eeq values not only return reliable settlement results, but also settlement profiles that are similar to those corresponding to the original soil mediums.

scholarly journals Proposal of Design Formulae for Equivalent Elasticity of Masonry Structures Made with Bricks of Low Modulus

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Muhammad Ridwan ◽  
Isamu Yoshitake ◽  
Ayman Y. Nassif
Keyword(s):  
Elastic Modulus ◽  
Modulus Of Elasticity ◽  
Elastic Moduli ◽  
Masonry Structures ◽  
Quadrilateral Elements ◽  
Fe Simulations ◽  
Low Elastic Modulus ◽  
Low Modulus ◽  
Equivalent Modulus ◽  
Simplified Formula

Bricks of low elastic modulus are occasionally used in some developing countries, such as Indonesia and India. Most of the previous research efforts focused on masonry structures built with bricks of considerably high elastic modulus. The objective of this study is to quantify the equivalent elastic modulus of lower-stiffness masonry structures, when the mortar has a higher modulus of elasticity than the bricks, by employing finite element (FE) simulations and adopting the homogenization technique. The reported numerical simulations adopted the two-dimensional representative volume elements (RVEs) using quadrilateral elements with four nodes. The equivalent elastic moduli of composite elements with various bricks and mortar were quantified. The numerically estimated equivalent elastic moduli from the FE simulations were verified using previously established test data. Hence, a new simplified formula for the calculation of the equivalent modulus of elasticity of such masonry structures is proposed in the present study.

scholarly journals A new experimental device for rapid measurement of the trunk equivalent modulus of elasticity on standing trees

2000 ◽  
Vol 57 (4) ◽  
pp. 361-359 ◽  
Author(s):  
Jean Launay ◽  
Philippe Rozenberg ◽  
Luc Paques ◽  
Jean-Marc Dewitte
Keyword(s):  
Modulus Of Elasticity ◽  
Experimental Device ◽  
Rapid Measurement ◽  
Standing Trees ◽  
Equivalent Modulus
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